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3 years ago

How do you write an equation in vertex form. Please provide a step by step solution

Mathematics

1 answer:

pochemuha3 years ago

3 0

Answer:

Step-by-step explanation:

Vertex form of a quadratic equation is y=a(x-h)2+k, where (h,k) is the vertex of the parabola.

The vertex of a parabola is the point at the top or bottom of the parabola.

'h' is -6, the first coordinate in the vertex.

'k' is -4, the second coordinate in the vertex.

'x' is -2, the first coordinate in the other point.

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The first part of a trip driving at 40 mph was 15 miles longer and took 30 minutes longer than the second part of the trip drivi

kenny6666 [7]

Answer:

65 miles

Step-by-step explanation:

There are two simultaneous equations . Remeber that v=d/t, 1hour = 60 minutes.

1. 40 = (d+15)/(t+0.5)

2. 50 = d/t

solving: d= 25 miles and t=0.5 hours.

The distance traveled is:

D=d+d+15

D=65 miles

5 0

3 years ago

Read 2 more answers

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4 years ago

Which graph below represents a functional relationship? A. 10 10 8 8 6 6 4 2 2 X 10864 6 8 10 10 8 6 4 4 6 8 10 -21 4 -61 -8 -8

Anestetic [448]

Answer:

Graph (C)

Step-by-step explanation:

To find whether the graph\table represents a relationship or a function we have to analyze the input-output values given.

Graph A.

In this graph for every input value (x-value) there are two output values (y-values).

For x = -2, y = -2, 2

So the graph doesn't represent a function.

Graph B.

For every x value there are two y-values

For x = -5, y = -3, 3

So the graph doesn't represent a function.

Graph C.

For every input value there is a different y-value.

Therefore, graph represents a function.

Graph D.

In this graph for x = 3, y = 1, 2, 3, 4

For one value of x, there are four values of y.

Therefore, graph doesn't show the relationship.

4 0

3 years ago

camilla paid $1.15 per pound for x pounds of tomatoes. She paid for her tomatoes with $10 and received $4.48 in change. How many

Alika [10]

Answer:

$x=4.8\ pounds$

Step-by-step explanation:

Let

x-----> the number of pounds of tomatoes Camilla bought

we know that

The equation that represent this situation is equal to

$1.15x=10-4.48$

Solve for x

$1.15x=5.52$

$x=5.52/1.15$

$x=4.8\ pounds$

5 0

3 years ago

Answer for 6x-31=11x+64

PIT_PIT [208]

6x - 31 = 11x + 64
6x cancels out and you take 6x away from 11x
-31 = 5x + 64
64 cancels out and you take 64 away from -31
-95 = 5x
Divide both sides by 5
-19 = x

6 0

3 years ago